Yes it may. Better to be safe than sorry. Contact WES with their online form with your WES reference number stating the error they made.
Photocopy your wife's passport, AND driver's or health card and send the photocopies to WES, with a letter explaining the error inside as well. Make sure you send it to their documentation centre, the same way you sent your academic report.
I had a similar issue with my WES report, and they fixed it up for me.